Use the Nth Term Test to Investigate the Series $\sum_{n=1}^{\infty} \frac{n+1}{n+2}$

Multiple Choice

Use the nth term test to investigate the series $\sum_{n=1}^{\infty} \frac{n+1}{n+2}$ .

A) The series converges.
B) $\lim _{\mathrm{n} \rightarrow} \frac{\mathrm{n}+1}{\mathrm{n}+2}=1 \neq 0$ , so the series diverges.
C) $\lim _{\mathrm{n} \rightarrow} \frac{\mathrm{n}+1}{\mathrm{n}+2}=0$ , so the test fails to tell us anything about the series.
D) $\lim _{\mathrm{n} \rightarrow} \frac{\mathrm{n}+1}{\mathrm{n}+2}=1$ , so the test fails to tell us anything about the series.